# Ch 15: ACT Math - Linear Equations: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering ACT preparation material will benefit from taking this course. You will be able to grasp the subject matter faster, retain critical knowledge longer and earn better ACT scores. You're in the right place if you:

- Have fallen behind in understanding systems of equations and other linear equation topics
- Need an efficient way to learn linear equations
- Learn best with engaging auditory and visual tools
- Struggle with learning disabilities or learning differences, including autism and ADHD
- Experience difficulty understanding your teachers
- Missed class time and need to catch up
- Can't access extra ACT review resources at school

## How it works:

- Start at the beginning, or identify the topics that you need help with.
- Watch and learn from fun videos, reviewing as needed.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Submit questions to one of our instructors for personalized support if you need extra help.
- Verify you're ready by completing the ACT Math - Linear Equations chapter exam.

## Why it works:

**Study Efficiently:**Skip what you know, review what you don't.**Retain What You Learn:**Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day:**Use the ACT Math - Linear Equations chapter exam to be prepared.**Get Extra Support:**Ask our subject-matter experts any linear equations question. They're here to help!**Study With Flexibility:**Watch videos on any web-ready device.

## Students will review:

In this chapter, you'll learn the answer to questions including:

- What is a linear equation?
- How do I write a linear equation?
- How do I graph a standard form equation?
- What is a system of equations?
- How can I use systems of equations?

### 1. What is a Linear Equation?

A linear equation is a pattern of numbers with proportional increase or decrease that is used to represent a line graph. Learn how to plot a graph and build and solve a linear equation.

### 2. How to Write a Linear Equation

Rather than drawing a graph from an equation, graphs can be used to determine equations using common algebraic techniques. Learn how to write a linear equation using two points and the slope formula as well as using background information on parallel and perpendicular lines.

### 3. Linear Equations: Intercepts, Standard Form and Graphing

To solve a linear equation, begin by determining whether it is written in the standard form or the slope-intercept form. Explore the differences between the slope-intercept form and the standard form of a linear equation, and learn how to graph the point of intercept for each.

### 4. What is a System of Equations?

Math word problems often ask students to compare and contrast, which are types of problems that can be solved with a system of equations. Learn about solving word problems using systems of equations and how to graph them, as well as the algebraic method of substitution through an example.

### 5. How Do I Use a System of Equations?

Most word problems that appear on math tests require a system of two or more equations to solve. Through examples, learn how to solve a system of equations with substitution and elimination in three steps.

### 6. Dependent Events in Math: Definition & Examples

In this lesson, we will review the definition of a dependent even in math and the concept and formula for conditional probability. We will also look at some examples to clarify your understanding of this concept.

### 7. Direct Variation: Definition, Formula & Examples

Direct variation is a consistent rate of change between two variables, such as time and distance. Learn about the definition of direct variation, study its formula, and look at some real-world examples.

### 8. Equidistant: Definition & Formula

This lesson will discuss the concepts of equidistant and midpoint. We will explore the midpoint formula and show some examples of relevance in the real world setting.

### 9. Introduction to Linear Algebra: Applications & Overview

What is linear algebra, anyway, and why should we care? What can we do with it? Let's look at some examples of the kinds of problems that can be made easier by the use of linear algebra techniques.

### 10. Linear Combination: Definition & Examples

Linear combination is a method that is used to solve a system of linear equations. This lesson outlines the three basic ways that linear combination can be used to solve problems.

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### Other Chapters

Other chapters within the ACT Prep: Help and Review course

- ACT - About the Test: Help and Review
- ACT English - Section Overview: Help and Review
- ACT English - Punctuation: Help and Review
- ACT English - Grammar and Usage: Help and Review
- ACT English - Sentence Structure: Help and Review
- ACT English - Rhetorical Strategy: Help and Review
- ACT English - Organization: Help and Review
- ACT English - Style: Help and Review
- ACT Math - Overview: Help and Review
- ACT Math - Pre-Algebra: Help and Review
- Decimals, Fractions, and Mixed Numbers
- ACT Math - Algebraic Expressions: Help and Review
- Finding, Estimating, and Simplifying Square Roots
- ACT Math - Radicals: Help and Review
- ACT Math - Functions: Help and Review
- ACT Math - Absolute Value: Help and Review
- ACT Math - Matrices: Help and Review
- ACT Math - Inequalities: Help and Review
- ACT Math - Probability: Help and Review
- ACT Math - Data and Statistics: Help and Review
- ACT Math - Exponents: Help and Review
- Mathematical Modelling Uses and Types
- ACT Math - Polynomials and Quadratics: Help and Review
- ACT Math - Rational Equations: Help and Review
- ACT Math - Sequences: Help and Review
- ACT Math - Complex Numbers: Help and Review
- ACT Math - Exponentials and Logarithms: Help and Review
- ACT Math - Coordinate Geometry: Help and Review
- ACT Math - Conic Sections: Help and Review
- ACT Math - Triangles: Help and Review
- ACT Math - Plane Geometry: Help and Review
- ACT Math - Logic in Mathematics: Help and Review
- ACT Math - Trigonometry: Help and Review
- ACT Science Reasoning - Overview: Help and Review
- ACT Science Reasoning - Fundamentals: Help and Review
- ACT Reading - Overview: Help and Review
- ACT Reading - Question Types: Help and Review
- ACT Reading - Understanding Passages: Help and Review
- ACT Reading - Literary Terms: Help and Review
- Types and Examples of Literary Devices Used in Literature
- ACT Reading - Practice: Help and Review
- ACT Writing - Overview: Help and Review
- ACT Writing - Essay Skills: Help and Review
- ACT Writing - Essay Parts: Help and Review
- ACT Writing - Planning: Help and Review
- ACT Writing - Advanced Skills: Help and Review
- ACT Prep Help and Review Flashcards